What is the Greatest Common Factor of 65124 and 65134?

Greatest common factor (GCF) of 65124 and 65134 is 2.

GCF(65124,65134) = 2

We will now calculate the prime factors of 65124 and 65134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65124 and 65134.

How to find the GCF of 65124 and 65134?

We will first find the prime factorization of 65124 and 65134. After we will calculate the factors of 65124 and 65134 and find the biggest common factor number .

Step-1: Prime Factorization of 65124

Prime factors of 65124 are 2, 3, 67. Prime factorization of 65124 in exponential form is:

65124 = 2² × 3⁵ × 67¹

Step-2: Prime Factorization of 65134

Prime factors of 65134 are 2, 29, 1123. Prime factorization of 65134 in exponential form is:

65134 = 2¹ × 29¹ × 1123¹

Step-3: Factors of 65124

List of positive integer factors of 65124 that divides 65124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 81, 108, 134, 162, 201, 243, 268, 324, 402, 486, 603, 804, 972, 1206, 1809, 2412, 3618, 5427, 7236, 10854, 16281, 21708, 32562

Step-4: Factors of 65134

List of positive integer factors of 65134 that divides 65124 without a remainder.

1, 2, 29, 58, 1123, 2246, 32567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65124 and 65134. The biggest common factor number is the GCF number.
So the greatest common factor 65124 and 65134 is 2.

Also check out the Least Common Multiple of 65124 and 65134